Strong stability of bounded evolution families and semigroups
We prove several characterizations of strong stability of uniformly bounded evolution families (U(t, s))t≥s≥0 of bounded operators on a Banach space X, i.e. we characterize the property limt→∞U(t, s)x = 0 for all s ≥ 0 and all x ε X. These results are connected to the asymptotic stability of the wel...
Main Authors: | , , |
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Format: | Journal article |
Language: | English |
Published: |
Elsevier
2002
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